Question

The scores in mathematics test (out of 25) of 15 students is as follows: 19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20 Find the mode and median of this data. Are they same?

Answer 1

To find the mode and median of the given data set, let's first arrange the scores in ascending order:

5, 9, 10, 12, 15, 16, 19, 20, 20, 20, 20, 23, 24, 25, 25

Mode: The mode is the value(s) that appears most frequently in a data set. In this case, the value 20 appears the most and has a frequency of 4. Therefore, the mode is 20.

Median: The median is the middle value in a sorted data set. Since we have 15 scores, the middle value is the 8th score when arranged in ascending order. In this case, the 8th score is 20, so the median is 20.

To answer your question, yes, in this particular data set, the mode and median are the same as both are equal to 20.